Four signal flags - one red, one blue, one yellow, and one green - can be arranged from top to bottom on a signal pole. Every arrangement of the four flags is a different signal. How many different signals using all four flags have the red flag on top?
four flags times three switchable colors 4 * 3 = answer (I think, I may not be the best at probability, sorry)
Why three...?
@sleepyhead314
red is stuck the other THREE colors get to move around
Alright, but 12 isn't an answer. I thought since it was one red, one blue, one yellow, and one green, four times, you'd have to multiply \(4 \times \ 4\).
right sorry I just tried it the long way... RBYG RBGY RYGB RYBG RGBY RGYB 6 combinations same idea that since red is stuck only 3 can move but mathematically that would be represented by 3! or 3 factorial = 3 * 2 * 1 = answer
So the answer is 6.
yes
Thank you. c:
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